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Microcanonical simulated annealing: Massively parallel Monte Carlo simulations with sporadic random-number generation
M. Bernaschi, C. Chilin, L. A. Fernandez +7
Numerical simulations of models and theories that describe complex systems such as spin glasses are becoming increasingly important. Beyond fundamental research, these computationa…
One-dimensional lattice random walks in a Gaussian random potential
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
We study random walks evolving in continuous time on a one-dimensional lattice where each site hosts a quenched random potential . The potentials on different sites are in…
Discrete-space and -time analogue of a super-diffusive fractional Brownian motion
Enzo Marinari, Gleb Oshanin
We discuss how to construct reliably well "a lattice and an integer time" version of a super-diffusive continuous-space and -time fractional Brownian motion (fBm) -- an experimenta…
A simple model of a sequence-reading diffusion: non-self-averaging and self-averaging properties
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
Motivated by a question about the sensitivity of knots' diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-rea…